Is the integer n odd?

[caralodigiani]

GMAT Prep - Cat #2 - Data Sufficiency

Is the integer n odd?
(1) n is divisible 3
(2) 2n is divisible by twice as many positive integers as n

Thank you!

[parthatayi]

GMAT Prep - Cat #2 - Data Sufficiency

Is the integer n odd?
(1) n is divisible 3
(2) 2n is divisible by twice as many positive integers as n

Thank you!

i think the answer is E.
Taking (1) into consideration:
n can be 6 or 9

Considering statement (2):
2n is always divisible by 2n irrespective whether n is odd.

Even by combining both the statements we cannot narrow down whether n is odd.

[gokul_nair1984]

i think the answer is E.
Taking (1) into consideration:
n can be 6 or 9

Considering statement (2):
2n is always divisible by 2n irrespective whether n is odd.

Even by combining both the statements we cannot narrow down whether n is odd.

Nope,The answer looks more like B.
Question Stem: Is the integer n odd?
Statement 2: 2n is divisible by twice as many positive integers as n

Let n=3 --3^1---No. of factors can be given as (1+1)=2
therefore, 2n =6--(2^1)*(3^1)---No of factors=(1+1)*(1+1)=4. Sufficient

Let n=2---No. of factors=2
2n=4---no. of factors =3. Hence n has to be odd for statement 2 and stem to satisfy.

Final iteration, Let n=9. No. of factors =3
Therefore, 2n=18. No. of factors =6.

Therefore,

When odd number n is doubled, 2n has twice as many factors as n.

[tim]

Thanks, Gokul. In addition to your ending statement, we also need to make the statement that when n is even, 2n does not have twice as many factors. This follows from your line of reasoning as well, when we consider the formula that is used to determine the number of factors an integer has..